DocumentCode
1501574
Title
Efficiency of the Geometric Integration of Landau–Lifshitz–Gilbert Equation Based on Cayley Transform
Author
Bottauscio, Oriano ; Manzin, Alessandra
Author_Institution
Ist. Naz. di Ricerca Metrologica (INRIM), Torino, Italy
Volume
47
Issue
5
fYear
2011
fDate
5/1/2011 12:00:00 AM
Firstpage
1154
Lastpage
1157
Abstract
A geometric integration technique based on Cayley transform is applied to the time discretization of the Landau-Lifshitz-Gilbert equation. The numerical efficiency is studied, focusing on the influence of damping coefficient and mesh size on the maximum time step that guarantees stability and preservation of the Lyapunov structure of the micromagnetic equation.
Keywords
damping; integration; magnetisation; micromagnetics; transforms; Cayley transform; Landau-Lifshitz-Gilbert equation; Lyapunov structure; damping coefficient; geometric integration technique; magnetization; maximum time step; mesh size; micromagnetic equation; numerical efficiency; time discretization; Algorithm design and analysis; Damping; Equations; Generators; Magnetization; Magnetomechanical effects; Saturation magnetization; Magnetization processes; micromagnetics; numerical analysis;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2010.2095831
Filename
5754665
Link To Document